2101112029 has 2 divisors, whose sum is σ = 2101112030. Its totient is φ = 2101112028.

The previous prime is 2101112023. The next prime is 2101112033. The reversal of 2101112029 is 9202111012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1219615929 + 881496100 = 34923^2 + 29690^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101112029 - 2⁹ = 2101111517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101111997 and 2101112015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101112023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050556014 + 1050556015.

It is an arithmetic number, because the mean of its divisors is an integer number (1050556015).

Almost surely, 2^2101112029 is an apocalyptic number.

It is an amenable number.

2101112029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101112029 is an equidigital number, since it uses as much as digits as its factorization.

2101112029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 2101112029 is about 45837.8885748460. Note that the first 3 decimals coincide. The cubic root of 2101112029 is about 1280.8051633813.

The spelling of 2101112029 in words is "two billion, one hundred one million, one hundred twelve thousand, twenty-nine".